A History of Mathematics |
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Page 208
... differential equations . He took the equation 2ż - ż + xỷ = 0 and succeeded in finding a particular integral of it . The rest of the treatise is devoted to the determination of maxima and minima , the radius of curvature of curves , and ...
... differential equations . He took the equation 2ż - ż + xỷ = 0 and succeeded in finding a particular integral of it . The rest of the treatise is devoted to the determination of maxima and minima , the radius of curvature of curves , and ...
Page 225
... differential calculus . He was unwilling to give to the world all his treasures , but chose those parts of his work ... equations . Thus the equation y = √2 x − x2 + characterises the cycloid.38 - S dx √2x - x2 The great invention of ...
... differential calculus . He was unwilling to give to the world all his treasures , but chose those parts of his work ... equations . Thus the equation y = √2 x − x2 + characterises the cycloid.38 - S dx √2x - x2 The great invention of ...
Page 226
... differential calculus without assist- ance . He and his brother John proved to be mathematicians . of exceptional ... linear equations . He resorted to the device of breaking up certain fractions into the sum of other fractions for the ...
... differential calculus without assist- ance . He and his brother John proved to be mathematicians . of exceptional ... linear equations . He resorted to the device of breaking up certain fractions into the sum of other fractions for the ...
Page 228
... equations from irrational terms . Leibniz announced in 1674 to Oldenburg ... equation involving never so many flowing quantities , to find the fluxions , and ... differential calculus . The death of Oldenburg brought this correspondence ...
... equations from irrational terms . Leibniz announced in 1674 to Oldenburg ... equation involving never so many flowing quantities , to find the fluxions , and ... differential calculus . The death of Oldenburg brought this correspondence ...
Page 241
... equation , published in the Acta Eruditorum in 1724 . He succeeded in integrating this differential equation for some special cases . A geometrician of remarkable power was Giulio Carlo , Count de Fagnano ( 1682–1766 ) . He discovered ...
... equation , published in the Acta Eruditorum in 1724 . He succeeded in integrating this differential equation for some special cases . A geometrician of remarkable power was Giulio Carlo , Count de Fagnano ( 1682–1766 ) . He discovered ...
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